Symmetric functions, noncommutative symmetric functions, and quasisymmetric functions

DOI10.1023/A:1022323609001zbMath1020.16027arXivmath/0410468MaRDI QIDQ1868196

Michiel Hazewinkel

Publication date: 27 April 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410468

zbMATH Keywords

symmetric functionsdual Hopf algebrasfree algebrasbraided Hopf algebrasDitters conjecturepower sumsnoncommutative symmetric functionsquasisymmetric functionsAdams operatorslambda-ringsSolomon descent algebrasbig Witt vectorsouter plethysmsinner plethysmsgeneralized Witt vectorscofree coalgebrasautomorphisms of Hopf algebrasdivided power sequencesendomorphisms of Hopf algebrasFrobenius operationsHecke algebras at zeroinner comultiplicationsinner multiplicationsLeibniz Hopf algebrasMalvenuto-Poirier-Reutenauer algebrasMPR algebrasouter comultiplicationsouter multiplicationspsi-ringsquantum quasisymmetric functionssecond comultiplicationssecond multiplicationsVerschiebungs operations

Mathematics Subject Classification ID

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